Derivative of e^(x^2+8)

Answer

2 \cdot 119696244^{-x^{2}-8} \cdot 325368125^{x^{2}+8} \cdot x

Derivative of e^(x^2+8)

Rule Used: Chain Rule
Steps: Identify a composite function in $e^{x^2+8}$ : use the chain rule $\frac{d}{dx} f(g(x))$ = f'(g(x))·g'(x). The inner derivative is required because a stretch or shift of the input changes how fast the output moves.
Differentiate the outer function, then multiply by the inner derivative.
Final answer: 2*119696244^(-8- $x^2$ )*325368125^(8+ $x^2$ )*x

The derivative of e^(x^2+8) is 2*119696244^(-8-x^2)*325368125^(8+x^2)*x.

Instant step-by-step solution for e^(x^2+8)

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Derivative of e^(x^2+8) = 2*119696244^(-8-x^2)*325368125^(8+x^2)*x Solve step-by-step for free: https://derivativecalculatorai.com/derivative-of-e-minus-to-minus-the-minus-x-minus-to-minus-the-minus-2-minus-plus-minus-8

How to find the derivative of e^(x^2+8)

To find the derivative of e^(x^2+8), we use standard differentiation rules. Our AI-powered calculator breaks down the steps and explains the logic.

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Frequently Asked Questions

What is the derivative of e^(x^2+8)?▼

The derivative of e^(x^2+8) is 2*119696244^(-8-x^2)*325368125^(8+x^2)*x.

How do you find the derivative of e^(x^2+8)?▼

Apply the standard differentiation rules — the key rule used here is the Chain Rule. The step-by-step result is 2*119696244^(-8-x^2)*325368125^(8+x^2)*x.

Why is the derivative of e^(x^2+8) equal to 2*119696244^(-8-x^2)*325368125^(8+x^2)*x?▼

Because differentiation measures how a function changes — applying the rules to e^(x^2+8) yields 2*119696244^(-8-x^2)*325368125^(8+x^2)*x. See the full step-by-step breakdown above.

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